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how to divide decimals in your head

Step 2: Move the decimal point in the dividend the same number of places as in the divisor. First, write the problem as usual:

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Turn the divisor (4.25) into a whole number by moving the decimal point two places to the right. unlocking this staff-researched answer. Multiplying decimals in your head doesn't have to take a long time. 2. If the sum is divisible by 9, so is the number. 6 x 40 is equal to 6 x 4 x 10. For example, if we need to divide 45.67 10, then it can be easily done by shifting the decimal point to the left and the answer will be 4.567, In order to divide a decimal number by 100, move the decimal point to the left by two places. Move the decimal point directly up above the division bar. Divide as usual, being careful to line up the quotient properly so that the decimal point falls into place. Can you divide decimals without a calculator? References. He is the author of Basic Math & Pre-Algebra For Dummies, SAT Math For Dummies, ACT Math For Dummies, Logic For Dummies, and Calculus II For Dummies. Write the problem as usual:

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You need to move the decimal point in the divisor (0.021) three places to the right, so attach an additional trailing zero to the dividend (3.15) to extend it to three decimal places:

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Now you can move both decimal points three places to the right. Sort by: Top Voted Kate the great 6 years ago 0:22 Math will no longer be a tough subject, especially when you understand the concepts through visualizations. If there's a remainder, it will be written as a decimal in the answer. We just need to check if the divisor is a whole number or a decimal number. The digits after the decimal point have a value smaller than 1. Example: 6008. "Missed a day in school when we where learning this, so now we have a test on it and now I'm not going to, "This article helped me realize that fractions and decimals are so similar.". Whether it's to pass that big test, qualify for that big promotion or even master that cooking technique; people who rely on dummies, rely on it to learn the critical skills and relevant information necessary for success. [6] The fraction 2/3, for example, can also be stated as 2 divided by 3. Double the 7 to get 14. If the last 3 digits are divisible by 8, so is the entire number. Instead, attach enough trailing zeros to round the quotient to a certain number of decimal places. Staff Answer. {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/e\/ec\/Convert-Fractions-to-Decimals-Step-1-Version-6.jpg\/v4-460px-Convert-Fractions-to-Decimals-Step-1-Version-6.jpg","bigUrl":"\/images\/thumb\/e\/ec\/Convert-Fractions-to-Decimals-Step-1-Version-6.jpg\/aid1354478-v4-728px-Convert-Fractions-to-Decimals-Step-1-Version-6.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"

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\n<\/p><\/div>"}, Converting Fractions to Decimals Using Division, {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/1\/10\/Convert-Fractions-to-Decimals-Step-4-Version-6.jpg\/v4-460px-Convert-Fractions-to-Decimals-Step-4-Version-6.jpg","bigUrl":"\/images\/thumb\/1\/10\/Convert-Fractions-to-Decimals-Step-4-Version-6.jpg\/aid1354478-v4-728px-Convert-Fractions-to-Decimals-Step-4-Version-6.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"

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\n<\/p><\/div>"}, Converting Fractions with "Power of 10" Denominators, {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/e\/e6\/Convert-Fractions-to-Decimals-Step-7-Version-5.jpg\/v4-460px-Convert-Fractions-to-Decimals-Step-7-Version-5.jpg","bigUrl":"\/images\/thumb\/e\/e6\/Convert-Fractions-to-Decimals-Step-7-Version-5.jpg\/aid1354478-v4-728px-Convert-Fractions-to-Decimals-Step-7-Version-5.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"

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\n<\/p><\/div>"}, {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/9\/98\/Convert-Fractions-to-Decimals-Step-9-Version-4.jpg\/v4-460px-Convert-Fractions-to-Decimals-Step-9-Version-4.jpg","bigUrl":"\/images\/thumb\/9\/98\/Convert-Fractions-to-Decimals-Step-9-Version-4.jpg\/aid1354478-v4-728px-Convert-Fractions-to-Decimals-Step-9-Version-4.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"

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\n<\/p><\/div>"}, Memorizing Important Decimal Equivalents of Fractions, {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/4\/4e\/Convert-Fractions-to-Decimals-Step-12-Version-3.jpg\/v4-460px-Convert-Fractions-to-Decimals-Step-12-Version-3.jpg","bigUrl":"\/images\/thumb\/4\/4e\/Convert-Fractions-to-Decimals-Step-12-Version-3.jpg\/aid1354478-v4-728px-Convert-Fractions-to-Decimals-Step-12-Version-3.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"

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\n<\/p><\/div>"}, {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/c\/c9\/Convert-Fractions-to-Decimals-Step-14-Version-3.jpg\/v4-460px-Convert-Fractions-to-Decimals-Step-14-Version-3.jpg","bigUrl":"\/images\/thumb\/c\/c9\/Convert-Fractions-to-Decimals-Step-14-Version-3.jpg\/aid1354478-v4-728px-Convert-Fractions-to-Decimals-Step-14-Version-3.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"

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\n<\/p><\/div>"}. Divide these two decimals: 9.345 / 0.05 = ? Start with the first non-zero digit. wikiHow is where trusted research and expert knowledge come together. If the number ends in a 0, it is divisible by 10. Some basic fraction to decimal conversions you should know by heart are 1/4 = .25, 1/2 = .5, and 3/4 = .75. The result would be 2/10. Grace Imson is a math teacher with over 40 years of teaching experience. For example, 0.05 would commonly be read aloud as "five-hundredths," the same as 5/100. If you are trying to convert 1/5 to a fraction with a denominator of 10, you would multiply it by 2/2. For instance, you have the number 2/10. Double the 7 to get 14. Step 1: First, write the division in the standard form. For example, if we need to divide 12.87 10, then it can be easily done by shifting the decimal point to the left and the answer will be 1.287, When we divide a decimal number by 100, we should move the decimal point to the left by two places. Put your decimal point in the quotient directly above where it falls in 91.25:

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Now youre ready to divide. Almost the same rule and dividing by 3. Either way they represent the same whole, just cut up differently. 3.15 / 0.021 = 150. Thanks to all authors for creating a page that has been read 365,560 times. Divide the problem as usual. 9.345 / 0.05 = 186.9. If the number is divisible by 2 and 3, it is also divisible by 6. {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/b\/bb\/Divide-Decimals-Step-1-Version-2.jpg\/v4-460px-Divide-Decimals-Step-1-Version-2.jpg","bigUrl":"\/images\/thumb\/b\/bb\/Divide-Decimals-Step-1-Version-2.jpg\/aid473391-v4-728px-Divide-Decimals-Step-1-Version-2.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"

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\n<\/p><\/div>"}. The decimal point of a decimal number moves by two places towards the left if we divide it by 100. Let us understand this with a simple example. How can I convert a fraction to a percent? After this step, we can divide 125 5 = 25. Think of a fraction as a math problem. How do you divide a decimal by a whole number? Doing long division on a calculator is easy. Enjoy! By entering your email address and clicking the Submit button, you agree to the Terms of Use and Privacy Policy & to receive electronic communications from Dummies.com, which may include marketing promotions, news and updates. Dividing Decimals is similar to dividing whole numbers, keeping in mind the position of the decimal point. For example, is just 1 divided by 4, or 0.25. As a small thank you, wed like to offer you a $30 gift card (valid at GoNift.com). Jessica also completed an MA in History from The University of Oregon in 2013. The process of dividing decimals is similar to the normal division process, but we just need to keep in mind the decimal point which should be correctly placed in the quotient. This will help you start to get used to doing division in your head. Created by Sal Khan. Again, place the decimal point in the quotient directly above where it now appears in the dividend, 21900:

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Now youre ready to divide. We will divide 337.7 5 in the following way. Put your decimal point in the quotient directly above where it falls in 91.25: Now youre ready to divide. For example, a pizza might be cut into 8 pieces. For example, if we need to divide 8934.5 1000, then it can be easily done by shifting the decimal point to the left and the answer will be 8.9345, Step 1: First, we will convert the divisor to a whole number 0.09 100 = 9, Step 2: Then, the dividend will also be multiplied with 100: 1.683 100 = 168.3. Place the decimal point in the quotient directly above where it now appears in the dividend: Now youre ready to divide. Now, let us learn how to divide decimals by decimals. For example, the quotient of 22.5 15.2 is 1.48. If you have more than 1 number after the decimal, keep moving the decimal until the number is whole. Take the last digit in a number. Dividing decimals involves a few simple steps. By using this service, some information may be shared with YouTube. Let us understand this with an example. Then, move the decimal in the dividend the same number of places to the right. Multiply both numerators together and make the result the numerator of the answer. Divide decimals by 10, 100 and 1,000. So, we will multiply the numbers normally and place the decimal point in the product after 7 places from the right. Repeat this sequence as necessary. So we start by rewriting "2" as "2." 6 x 2 x 2 . She has taught math at the elementary, middle, high school, and college levels. The denominator for the pizza would then be "8". To start out, write the problem as usual: Turn the divisor (10.1) into a whole number by moving the decimal point one place to the right. Finally, divide the numbers as you normally would. How many marbles does he have if their total weight is 376 grams? 7/1/10 4:39 AM. Created by Sal Khan. Place the decimal point in the quotient above the decimal point in the dividend:

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Divide, being careful to line up the quotient properly:

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Remember to insert a placeholding zero in the quotient so that the decimal point ends up in the correct place.

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    6.7 / 10.1 = 0.7.

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